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Finding the Fourth Proportional to 53,826.50, 80,752.80 and 16,890.50

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Solution

The fourth proportional to 53,826.50, 80,752.80 and 16,890.50 is: 25,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,826.50 : 80,752.80 = 16,890.50 : x
  2. Step 2: Convert to fraction form
    53,826.50/80,752.80 = 16,890.50/x
  3. Step 3: Cross multiply
    53,826.50x = 80,752.80 × 16,890.50
  4. Step 4: Simplify right side
    53,826.50x = 1,363,955,168.40
  5. Step 5: Solve for x
    x = 1,363,955,168.40/53,826.50
  6. Step 6: Final answer
    x = 25,339.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.